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Finding the Third Proportional to 233,241.75 and 507,966.75

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Solution

The third proportional to 233,241.75 and 507,966.75 is: 1,106,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,241.75 : 507,966.75 = 507,966.75 : x
  2. Step 2: Convert to fraction form
    233,241.75/507,966.75 = 507,966.75/x
  3. Step 3: Cross multiply
    233,241.75x = 507,966.75 × 507,966.75
  4. Step 4: Simplify right side
    233,241.75x = 258,030,219,105.56
  5. Step 5: Solve for x
    x = 258,030,219,105.56/233,241.75
  6. Step 6: Final answer
    x = 1,106,278.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.